The number 64020

Q: Is 64020 a prime number?

No. 64020 = 2^2 × 3 × 5 × 11 × 97, so it is divisible by 2.

64020 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 11 × 97. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55 … 64020.

Number

Pick any whole number from 1 to 100,000.

64020 = 2^{2} \times 3 \times 5 \times 11 \times 97

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How to work it out

1
What is special about 64020: a Harshad number: divisible by its digit sum 12.
2
64020 is composite. Its prime factorisation is
$64020 = 2^{2} \times 3 \times 5 \times 11 \times 97$
3
The divisors add up to 197568; without 64020 itself that is 133548, so 64020 is abundant (133548 is more than 64020). Euler's totient φ(64020) = 15360 numbers up to 64020 share no factor with it.
4
The digits of 64020 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.

LaTeX source of the formulas on this page

\[ 64020 = 2^{2} \times 3 \times 5 \times 11 \times 97 \]

64020 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	197568
Euler totient φ(n)	15360
Square	4098560400
Cube	262389836808000
Square root	253.021738 (= 2√16005)
Digit sum / digital root	12 / 3
Collatz steps to 1	47
Scientific notation	6.402 × $10^{4}$

64020 in other forms

Form	Value
In words	sixty-four thousand and twenty
Binary (base 2)	1111101000010100
Octal (base 8)	175024
Hexadecimal (base 16)	FA14
Base 3	10020211010
As time	64020 seconds = 17 h 47 min 0 s

Is 64020 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (64020 ÷ 2 = 32010)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (64020 ÷ 3 = 21340)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (64020 ÷ 4 = 16005)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (64020 ÷ 5 = 12804)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (64020 ÷ 6 = 10670)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 5)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (64020 ÷ 10 = 6402)	A number is divisible by 10 if the last digit is 0.
11	Yes (64020 ÷ 11 = 5820)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (64020 ÷ 12 = 5335)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 64020 a prime number?

No. 64020 = $2^{2}$ × 3 × 5 × 11 × 97, so it is divisible by 2.

What are the factors of 64020?

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 97, 110, 132, 165, 194, 220, 291, 330, 388, 485, 582, 660, 970, 1067, 1164, 1455, 1940, 2134, 2910, 3201, 4268, 5335, 5820, 6402, 10670, 12804, 16005, 21340, 32010, 64020.

What is 64020 in binary?

1111101000010100 (hexadecimal FA14, octal 175024).

What is the square root of 64020?

About 253.0217, exactly 2√16005.

Is 64020 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 64020?

64020 is a Harshad number: divisible by its digit sum 12.